Table (b)
(i) The class intervals are made continuous and then the histogram is constructed. (ii) A kink or a zig - zag curve is shown near the origin. It indicates that the scale along the horizontal axis does not start at the origin. (iii) The horizontal scale and vertical scale need not be the sa..
(i) The class intervals are made continuous and then the histogram is constructed. (ii) A kink or a zig - zag curve is shown near the origin. It indicates that the scale along the horizontal axis does not start at the origin. (iii) The horizontal scale and vertical scale need not be the sa..Example:
Consider the same experiment throwing a die, then S= {1, 2, 3, 4, 5} Let A = {1, 2, 3, 4}, B = {2, 3, 4, 5} The following are also events A - B = {1 } A'= {5,..
Consider the same experiment throwing a die, then S= {1, 2, 3, 4, 5} Let A = {1, 2, 3, 4}, B = {2, 3, 4, 5} The following are also events A - B = {1 } A'= {5,..Example:
In a bolt factory 25%, 35% and 40% of the total is manufactured by machines A, B and C, out of which 5%, 4% and 2% are respectively defective. If the bolt drawn is found to be defective, what is the probability it is manufactured by the machine ..
Examples:
1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a 'permutation'. Thus, the number of arrangements or permutations of tw..
1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a 'permutation'. Thus, the number of arrangements or permutations of tw..Conditional Probability
Let A and B be any two events associated with a random experiment. The probability of occurrence of event A when the event B has already occurred is called the conditional probability of A when B is given and is denoted as P(A/B..
Example 2:
A pair of dice is thrown. If it is known that one die shows a 4, what is the probability that a) the other die shows a 5 b) the total of both the die is greater than..
Graphs and Charts with Worked Examples
Question 1 - Question: Find the median of : 83, 37, 70, 29, 45, 63, 41, 70, 30, 54 Answer: 29, 30, 37, 41, 45, 54, 63, 70, 70, 83 Median = Middle-most score Median = 49..
Question 1 - Question: Find the median of : 83, 37, 70, 29, 45, 63, 41, 70, 30, 54 Answer: 29, 30, 37, 41, 45, 54, 63, 70, 70, 83 Median = Middle-most score Median = 49..Conditional Probability
Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has occurred, then the..
Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has occurred, then the..Example 2:
Therefore 300x + 150 y 15,000 dollars The mathematical model for this problem is Maximize Z = 50x + 18y (objective function) Subject to the condition with non-negativity conditions Note that in both the examples the conditions are linear inequations; these mathematical models ..
Therefore 300x + 150 y 15,000 dollars The mathematical model for this problem is Maximize Z = 50x + 18y (objective function) Subject to the condition with non-negativity conditions Note that in both the examples the conditions are linear inequations; these mathematical models .. Result
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